Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius Calculator

✖Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell.ⓘ Height of Cylindrical Shell [h]			+10% -10%
✖Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell.ⓘ Lateral Surface Area of Cylindrical Shell [LSA]			+10% -10%
✖Inner Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell.ⓘ Inner Radius of Cylindrical Shell [r_Inner]			+10% -10%

✖Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell.ⓘ Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius [V]

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Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)
V = pi*h*((LSA/(2*pi*h)-r_Inner)^2-r_Inner^2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Cylindrical Shell - (Measured in Cubic Meter) - Volume of Cylindrical Shell is the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell.
Height of Cylindrical Shell - (Measured in Meter) - Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell.
Lateral Surface Area of Cylindrical Shell - (Measured in Square Meter) - Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell.
Inner Radius of Cylindrical Shell - (Measured in Meter) - Inner Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell.

STEP 1: Convert Input(s) to Base Unit

Height of Cylindrical Shell: 5 Meter --> 5 Meter No Conversion Required
Lateral Surface Area of Cylindrical Shell: 530 Square Meter --> 530 Square Meter No Conversion Required
Inner Radius of Cylindrical Shell: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = pi*h*((LSA/(2*pi*h)-r_Inner)^2-r_Inner^2) --> pi*5*((530/(2*pi*5)-7)^2-7^2)

Evaluating ... ...

V = 760.66235145134

STEP 3: Convert Result to Output's Unit

760.66235145134 Cubic Meter --> No Conversion Required

FINAL ANSWER

760.66235145134 ≈ 760.6624 Cubic Meter <-- Volume of Cylindrical Shell

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< Volume of Cylindrical Shell Calculators

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius

LaTeX Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)

Volume of Cylindrical Shell given Wall Thickness and Inner Radius

LaTeX Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)

Volume of Cylindrical Shell given Wall Thickness and Outer Radius

LaTeX Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-(Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2)

Volume of Cylindrical Shell

LaTeX Go Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius Formula

LaTeX Go

What is a Cylindrical Shell?

A Cylindrical Shell is simply speaking, the space enclosed by two concentric circular cylinders. That is, if two circular cylinders of same height are kept one inside another, in such a way that their central axis coincide, then the space bounded in between these cylinders along with the annulus surfaces of proper size on the top and bottom together forms the Cylindrical Shell. An annulus in two dimensions is the compression of a Cylindrical Shell into a horizontal plane.

How to Calculate Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius?

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius calculator uses Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2) to calculate the Volume of Cylindrical Shell, Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell, and calculated using the lateral surface area and inner radius of the Cylindrical Shell. Volume of Cylindrical Shell is denoted by V symbol.

How to calculate Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius using this online calculator? To use this online calculator for Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius, enter Height of Cylindrical Shell (h), Lateral Surface Area of Cylindrical Shell (LSA) & Inner Radius of Cylindrical Shell (r_Inner) and hit the calculate button. Here is how the Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius calculation can be explained with given input values -> 760.6624 = pi*5*((530/(2*pi*5)-7)^2-7^2).

FAQ

What is Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius?

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell, and calculated using the lateral surface area and inner radius of the Cylindrical Shell and is represented as V = pi*h*((LSA/(2*pi*h)-r_Inner)^2-r_Inner^2) or Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2). Height of Cylindrical Shell is the vertical distance from the base circular face to the top most point of the Cylindrical Shell, Lateral Surface Area of Cylindrical Shell is the total quantity of plane enclosed on all the lateral curved surfaces of the Cylindrical Shell & Inner Radius of Cylindrical Shell is the distance between center and any point on the circumference of any of the circular faces in the inner cylinder of the Cylindrical Shell.

How to calculate Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius?

Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cylindrical Shell, and calculated using the lateral surface area and inner radius of the Cylindrical Shell is calculated using Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Lateral Surface Area of Cylindrical Shell/(2*pi*Height of Cylindrical Shell)-Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2). To calculate Volume of Cylindrical Shell given Lateral Surface Area and Inner Radius, you need Height of Cylindrical Shell (h), Lateral Surface Area of Cylindrical Shell (LSA) & Inner Radius of Cylindrical Shell (r_Inner). With our tool, you need to enter the respective value for Height of Cylindrical Shell, Lateral Surface Area of Cylindrical Shell & Inner Radius of Cylindrical Shell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Cylindrical Shell?

In this formula, Volume of Cylindrical Shell uses Height of Cylindrical Shell, Lateral Surface Area of Cylindrical Shell & Inner Radius of Cylindrical Shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-Inner Radius of Cylindrical Shell^2)
Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*((Wall Thickness of Cylindrical Shell+Inner Radius of Cylindrical Shell)^2-Inner Radius of Cylindrical Shell^2)
Volume of Cylindrical Shell = pi*Height of Cylindrical Shell*(Outer Radius of Cylindrical Shell^2-(Outer Radius of Cylindrical Shell-Wall Thickness of Cylindrical Shell)^2)

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